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Create unit tests for the following quick_sortfunction. def quick_sort(arr):
    if len(arr) <= 1:
        return arr
    else:
        pivot = arr[0]
        left = [x for x in arr[1:] if x < pivot]
        right = [x for x in arr[1:] if x >= pivot]
        return quick_sort(left) + [pivot] + quick_sort(right)
 Response
          
Of course. Here are unit tests for the quick_sortfunction using Python's built-inunittestframework. The Code to TestFirst, let's place the function in a file, for example, sorter.py. sorter.py
 def quick_sort(arr):
    """
    Sorts a list of comparable elements using the Quick Sort algorithm.
    Note: This implementation is simple for demonstration and not optimized.
    It creates new lists in memory for partitions.
    """
    if len(arr) <= 1:
        return arr
    else:
        pivot = arr[0]
        left = [x for x in arr[1:] if x < pivot]
        right = [x for x in arr[1:] if x >= pivot]
        return quick_sort(left) + [pivot] + quick_sort(right)
 The Unit TestsNow, we'll create a separate file for our tests, for example, test_sorter.py. This file will import thequick_sortfunction and define a series of test cases to validate its behavior. The tests cover: 
Edge Cases: Empty lists and single-element lists.Standard Cases: A typical unsorted list with positive integers.Data Variations: Lists with negative numbers, floats, and duplicates.Challenging Cases: Lists that are already sorted or in reverse order.Immutability: A test to ensure the original list is not modified.Other Data Types: A test with strings to ensure it works with other comparable types. test_sorter.py
 import unittest
from sorter import quick_sort
class TestQuickSort(unittest.TestCase):
    def test_empty_list(self):
        """Test sorting an empty list, which should result in an empty list."""
        self.assertEqual(quick_sort([]), [])
    def test_single_element_list(self):
        """Test sorting a list with a single element."""
        self.assertEqual(quick_sort([42]), [42])
    def test_already_sorted_list(self):
        """Test a list that is already sorted."""
        self.assertEqual(quick_sort([1, 2, 3, 4, 5]), [1, 2, 3, 4, 5])
    def test_reverse_sorted_list(self):
        """Test a list that is sorted in reverse order."""
        self.assertEqual(quick_sort([5, 4, 3, 2, 1]), [1, 2, 3, 4, 5])
    def test_random_integers(self):
        """Test a typical unsorted list of integers."""
        arr = [3, 6, 8, 10, 1, 2, 1]
        self.assertEqual(quick_sort(arr), [1, 1, 2, 3, 6, 8, 10])
    def test_with_negative_numbers(self):
        """Test a list containing negative numbers."""
        arr = [-3, 6, -8, 10, 1, -2, 0]
        self.assertEqual(quick_sort(arr), [-8, -3, -2, 0, 1, 6, 10])
    def test_with_duplicates(self):
        """Test a list with duplicate elements."""
        arr = [5, 2, 8, 2, 5, 1, 8]
        self.assertEqual(quick_sort(arr), [1, 2, 2, 5, 5, 8, 8])
    def test_all_elements_are_the_same(self):
        """Test a list where all elements are identical."""
        self.assertEqual(quick_sort([7, 7, 7, 7, 7]), [7, 7, 7, 7, 7])
    def test_with_floats(self):
        """Test a list containing floating-point numbers."""
        arr = [3.14, 1.0, -2.5, 0.5, 2.71]
        self.assertEqual(quick_sort(arr), [-2.5, 0.5, 1.0, 2.71, 3.14])
    def test_with_strings(self):
        """Test a list of strings."""
        arr = ["banana", "apple", "cherry", "date", "apple"]
        self.assertEqual(quick_sort(arr), ["apple", "apple", "banana", "cherry", "date"])
    def test_original_list_is_unchanged(self):
        """Test that the function does not modify the original list (immutability)."""
        original_list = [3, 1, 4, 1, 5, 9]
        # Create a copy to compare against after the function call
        list_copy = original_list[:]
        
        quick_sort(original_list)
        
        # Verify the original list is the same as its copy
        self.assertEqual(original_list, list_copy)
# This allows the test to be run from the command line
if __name__ == '__main__':
    unittest.main(argv=['first-arg-is-ignored'], exit=False)
 How to Run the Tests
Save the two files (sorter.pyandtest_sorter.py) in the same directory.Open your terminal or command prompt and navigate to that directory.Run the test file using the following command: python -m unittest test_sorter.py
 Or, for more detailed output: python -m unittest -v test_sorter.py
 Expected OutputIf all tests pass, you will see output similar to this: ............
----------------------------------------------------------------------
Ran 12 tests in 0.001s
OK
 Each dot (.) represents a test that passed successfully. If a test fails,unittestwill provide a detailed traceback showing the assertion that failed, the expected value, and the actual value received from the function. | 
          
            | Model: | gemini-2.5-pro |  
            | Temperature: | 0.2 |  
            | Max output tokens: | 8192 |  
            | TopK: | 40.0 |  
            | TopP: | 0.95 |  |